Abstract:With the introduction of more and more random factors in power systems, probabilistic load flow (PLF) has become one of the most important tasks for power system planning and operation. Cumulants-based PLF is an effective algorithm to calculate PLF in an analytical way, however, the correlations among the nodal injections to the system level have rarely been studied. A novel parallel cumulants-based PLF method considering nodal correlations is proposed in this paper, which is able to deal with the correlations among all system nodes, and avoid the Jacobian matrix inversion in the traditional cumulants-based PLF as well. In addition, parallel computing is introduced to improve the efficiency of the numerical calculations. The accuracy of the proposed method is validated by numerical tests on the standard IEEE-14 system, comparing with the results from Correlation Latin hypercube sampling Monte Carlo Simulation (CLMCS) method. And the efficiency and parallel performance is proven by the tests on the modified IEEE-300, C703, N1047 systems with distributed generation (DG). Numerical simulations show that the proposed parallel cumulants-based PLF method considering nodal correlations is able to get more accurate results using less computational time and physical memory, and have higher efficiency and better parallel performance than the traditional one.
Extreme disasters may cause damage to energy system's components and transportation networks. How to achieve a rapid restoration of power supply is crucial. A coordinated post-disaster recovery and assessment method for the integrated electricity-gas-transportation system is proposed in this paper, and a repair sequence assessment model for the damaged road in transportation network based on topology and operational metrics is also established. Then, considering the dynamic changeability of the transportation network status, a rolling-updated model for dynamic road restoration and repair crew scheduling is proposed. Finally, we propose the coordinated post-disaster recovery and assessment model of electricity-gas-transportation system, in which the modified alternating direction multiplier of method is applied to solve. The impact of the transportation network repair process on system load recovery under different perspectives is verified by arithmetic examples.
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